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Spatial Effects of Delay-induced Stochastic Oscillations in a\n Multi-Cellular System

2015/06/11 by Dmitry Bratsun, Bratsun, Dmitry, А.П. Захаров +1
Biochemistry, Genetics and Molecular Biology · Chemistry · #Gene Regulatory Network Analysis #thermodynamics and calorimetric analyses #Protein Structure and Dynamics

paper · pdf · doi:10.48550/arxiv.1506.03687

Abstract

We explore the joint effect of the intrinsic noise and time delay on the\nspatial pattern formation within a multi-scale mobile lattice model of the\nepithelium. The protein fluctuations are driven by transcription/translation\nprocesses in epithelial cells exchanging chemical and mechanical signals and\nare described by a single-gene auto-repressor model with constant delay. Both\ndeterministic and stochastic descriptions are given. We found that time delay,\nnoise and spatial signaling can result in the protein pattern formation even\nwhen deterministic description exhibits no patterns.\n

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